Factorize: 7xyz + 21x^2 y​

Answers

Answer 1

Answer:

[tex]7xyz + 21 {x}^{2} y [/tex]

factorise out 7, x and y:

[tex] = 7xy(z + 3x)[/tex]

Answer 2

Answer:

[tex]\huge\boxed{\sf 7xy (z + 3x)}[/tex]

Step-by-step explanation:

[tex]\sf 7xyz +21x^2y\\\\H.C.F. = 7xy\\\\Hence, \ Take \ 7xy \ as \ common\\\\= 7xy (z + 3x)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Related Questions

Find the sum of
6x^2+ 10x – 1 and -5x^2– 2x + 1.

Answers

Answer:

x^2+8x

Step-by-step explanation:

(6x^2+ 10x – 1) + (-5x^2– 2x + 1)

=6x^2-5x^2+10x-2x-1+1

=x^2+8x

Answer:

x^2 +8x

Step-by-step explanation:

6x^2 +10x -1 -5x^ -2x +1

x^2 +8x

2. What is the additive inverse of -7? (1 point) 0-7 07 O-1-7 O-(-(-7)​

Answers

Answer:

for additive inverse you change the sign of the given number so i think its 7

Step-by-step explanation:

What is the slope of the line on the graph?
0 1
1/2
N
2.
х
3
4
2 4
-2

Answers

Answer:

2

Step-by-step explanation:

For your safety: “Don’t try to answer a question that you are unsure or don’t know how to solve” (we are always active in brainly and we are more than glad to help you)

Step 1. Get two points off the graph

Points: (0, 3) and (-1, 1)

Step 2. Find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

m = (1 - 3)/(-1 - 0)

m = -2/-1

m = 2/1

m = 2

The slope is 2

please help me-- financial math!!
The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between paying $75 and $100 of the monthly balance. How much does she save in interest and fees if she pays $100 instead of $75?

Answers

Answer:

Step-by-step explanation:

2000 * .125/12 = $20.83

at $100 remaining balance = $1920.81

at $75 remaining balance   = $1945.81

please help this 2 sums

Answers

Answer:

Step-by-step explanation:

Sin (A +  B) = Sin A *Cos B + Cos A *Sin B

Sin 75 = Sin (30 + 45)

           = Sin 30 * Cos 45 + Cos 30 * Sin 45

           [tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]

Write the phrase as an algebraic expression. The quotient of twelve and the difference of three and a number (Type an expression using x as the variable.)​

Answers

Answer:

The answer is 12 + 3 - x

Step-by-step explanation:

The keywords are "and" and "difference". "And" means adding and "difference" means subtracting. And if the phrase says/or writes a number before any keywords that represent an operation then, it means that number comes first before the sign or operation.

Hope I'm correct as this is the first time I am answering a question and I don't have a pen and paper with me right now XD.

let h (x)= -x-18 find h (3)

Answers

Answer:

-21

Step-by-step explanation:

h(x) = -x-18

h(3) = -(3)-18 = -21

Answer:

[tex]h(3)=-21[/tex]

Step-by-step explanation:

One is given the following:

[tex]h(x) = -x - 18[/tex]

One is asked to find the value of ([tex]h(3)[/tex]). Substitute ([tex]3[/tex]) in place of ([tex]x[/tex]) and simplify to evaluate,

[tex]h(x)=-x-18\\\\h(3)=-(3)-18\\\\h(3)=-3-18\\\\h(3)=-21[/tex]

Ramesh buys 10 containers of juice from one shop and 18 containers of the same juice
from another shop. If the capacity of each container is same and the cost of each of the
container is ₹150, find the total money spend by Ramesh.

Answers

4200

Step-by-step explanation:

10 × 150 = 1500

18 × 150 = 2700

So

1500 + 2700 = 4200

What is “T” if R(-9,4) and the midpoint S(2,-1) ? HELP!

Answers

So your question is: S is the midpoint of R and T, find T, right?
Suppose T(x,y)
Because S(2,-1) is the midpoint of R(-9,4) and T(x,y) and follow midpoint method we have:

2 = (-9 + x)/2 <=> 4 = -9 +x <=> 13 = x

-1 = (4+y)/2 <=> -2 = 4 + y <=> -6 = y
=> T(13,-6)


2. Which number line is correct? Why are the others incorrect? ​

Answers

Answer:

the middle one is correct

Step-by-step explanation:

the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"

the middle one is correct because the pattern is consistent and the order of the numbers are correct

the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number

hope I helped ❤

Answer: The 2nd number line is correct

Explanation:

The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.

The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.

The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.

So to summarize: the gap size must be the same and the numbers must be written in the correct order.

make a the subject of the formula x²=a²-a²w²​

Answers

Answer:

a = ± [tex]\sqrt{\frac{x^2}{1-w} }[/tex]

Step-by-step explanation:

Given

x² = a² - a²w ← factor out a² from each term on the right side

x² = a²(1 - w) ← divide both sides by (1 - w)

[tex]\frac{x^2}{1-w}[/tex] = a² ( take the square root of both sides )

± [tex]\sqrt{\frac{x^2}{1-w} }[/tex] = a

A solid metal cone has a radius of 4cm and a vertical height of 12cm.

1.1.1. Calculate the volume of the cone in terms of π.​

Answers

V=Pi(3.14)R^2(h/3)

V=volume
R=radius
H=hight

V=(3.14)(4cm^2)(12/3)

V≈201.06

Help please I don’t get it

Answers

Answer:

LP = 15

Step-by-step explanation:

LM = LP ( isosceles triangle sides will be equal )

10x - 5 = 7x + 1

Transpose to find the value of x

10x -7x = 1 + 5

3x = 6

x = 6/3

x = 2

now put 2 instead of x

10x - 5

10 (2) - 5

20 - 5

15

LP = 15

PLZ HELP!! ILL GIVE BRAINLIEST!!!

Answers

the answer is (6,-3)

Answer:

(6, -3)

Step-by-step explanation:

Find the middle of the 2 coordinates.

8 --- 4

7 --- 5

6 --- 6

__________

-7 --- 1

-6 --- 0

-5 --- -1

-4 --- -2

-3 --- -3

Write Algebraic expression for
8 less than the quotient of 4 and p

Answers

Step-by-step explanation:

[tex] \frac{4}{p} - 8[/tex]

I hope it helped U

Please help I’m failing math

Answers

I’ve attached my answer
Hope it helps and always willing to help!!
Have a nice day :)

Simplify
32
O
220
33
O
O

38
O
122
2
0
32

Answers

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then

[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]

= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{3^{8} }[/tex]

What is the greatest common factor of 39 and 3?

Answers

Answer:

The GCF of 39 and 3 is 3

Step-by-step explanation:

3/3= 1

39/3= 13

simplify

a)6+[12-5 multiply by 2 +{2+ small bracket 8 divided by 4 -2 small bracket curley bracket ]

make a meaningful question and solve this

only for math legends who are the dad of albert einstein

Answers

Answer:

8

Step-by-step explanation:

[tex]6 + 12 - 5 \times 2 + 2(8 \div 4 - 2)[/tex]

[tex]6 + 12 - 10 + 2(2 - 2)[/tex]

[tex]6 + 12 - 10 + 2 \times 0[/tex]

[tex]6 + 12 - 10 + 0[/tex]

[tex] = 8[/tex]

Decide!!!!!!!!!!!!!!

Answers

A third alternative to the formulas I suggested in a comment is to use the vector cross product. Recast the three given points as points in 3D space with 0 z-coordinate:

A(20, 21, 0), B(8, 29, 0), and C(13, 1, 0)

Now consider two vectors,

u = B - A = 〈8, 29, 0〉 - 〈20, 21, 0〉 = 〈-12, 8, 0〉

v = C - A = 〈13, 1, 0〉 - 〈20, 21, 0〉 = 〈-7, -20, 0〉

Then recall the cross product identity,

||u × v|| = ||u|| ||v|| |sin(θ)|

where θ is the angle between the two vectors. The magnitude of u × v is equal to the area of the parallelogram spanned by u and v, and hence twice the area of the triangle of interest.

So we have

area = ||1/2 〈-12, 8, 0〉 × 〈-7, -20, 0〉||

area = 1/2 ||〈-12, 8, 0〉 × 〈-7, -20, 0〉||

area = 1/2 ||〈0, 0, 296〉||

area = 296/2

area = 148

write 15009 in expanded notation

Answers

Answer:

the answer is 10000+5000+9

Answer:

10,000+5,000+9

Step-by-step explanation:

that is the answer

please please please help!

Answers

Answer:

4

Step-by-step explanation:

The multiplication of both indices gives 4

in which quadrant on the cartesian plane does (0,-3) lie?​

Answers

Answer:

I believe quadrant 1

Step-by-step explanation:

There r quadrants on a graph, once (0,-3) is graphed it lands in the first quadrant sense it’s on that side

ask me questions if you need clarification

Given coordinate is (3,0)(3,0). This point lies on the x-axis because its y-axis is on origin. Therefore, it lies on the x-axis between the Quadrant I and Quadrant IV.

Katie and mina both commute to work. Katie's commute on train takes 10 minutes more then 1/2 as may minutes as Mina’s commute by car. It takes Katie 30 minutes to get to work which equation determines how many minutes it takes Mina to get to work. (9th grade Algebra 1)

Answers

Answer:

It’s A.

Step-by-step explanation:

Took the test and got it right

Write an equivalent expression by distributing the "−" sign outside the parentheses:

−(−6.8k+8)

Answers

Answer:

[tex] - ( - 6.8k + 8) \\ = + 6.8k - 8 \\ thank \: you[/tex]

f(x) = roots 3x + 7

if f^-1 (x) is the invers of f(x), then determine the result of f^-1(2)!​

Answers

[tex]f(x) = \sqrt{3x} + 7 \\ \\ f ^{ - 1} (x) = ( \sqrt{3x} + 7) ^{ - 1} \\ \\ f ^{ - 1} (x) = \frac{1}{ \sqrt{3x} + 7} \\ \\ \\ f ^{ - 1} (2) = \frac{1}{ \sqrt{3(2)} + 7} \\ \\f ^{ - 1} (2) = \frac{1}{ \sqrt{6} + 7} \\ \\ f ^{ - 1} (2) = \frac{1}{ \sqrt{6} + 7} \times \frac{ \sqrt{6} - 7 }{ \sqrt{6} - 7 } \\ \\ f ^{ - 1} (2) = \frac{ \sqrt{6} - 7 }{(6 - 49)} = \frac{ \sqrt{6} - 7 }{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ \sqrt{6} - 7 }{ - 43} = \frac{2.449 - 7}{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ - 4.551}{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ 4.551}{ 43} =0.10584[/tex]

I hope I helped you^_^

how to do you divide? ​

Answers

Answer:

I HOPE IT WILL HELP YOU A LOT.

6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99

Answers

Answer:

(G)77

Step-by-step explanation:

44+11=55.

55+22=77.

77+33=110.

110+44=154.

154+55=209.

Find the distance between the two points in simplest radical form (-8,-4) (0,-8).

Answers

Answer: Distance = 4√5

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-8, -4)

(x₂, y₂) = (0, -8)

Given equation

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the equation

[tex]Distance=\sqrt{(0+8)^2+(-8+4)^2}[/tex]

Simplify values in the parentheses through addition

[tex]Distance=\sqrt{(8)^2+(-4)^2}[/tex]

Simplify exponents

[tex]Distance=\sqrt{64+16}[/tex]

Simplify by addition

[tex]Distance=\sqrt{80}[/tex]

Simplify the radical value into the simplest form

[tex]Distance=4\sqrt{5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

whats the least common denominator of 9, 13, and 20

Answers

Answer:

13 = 13  

20 = 2^2 • 5  

9 = 32

Prime Factor   Number 13   Number 20   Number 9    L.C.M  

   2                         0                        2                     0               2

   3                          0                        0                     2               2                                                  

   5                          0                         1                     0                  1  

 

   13                         1                         0                    0                   1

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